A sequence is a pattern of numbers that follows a set of rules. A sequence in which 1 1/4 is adding to each number \(2, 3\frac{1}{4}, 4\frac{1}{2} .....\)
A sequence must have a starting point. This is called the first term (T1).
Assume that:
\(T_1 = 2\) --- we can use any number, here
The next term will be:
\(T_2 = T_1 + 1\frac{1}{4}\) ----- i.e. add \(1\frac14\) to the number
\(T_2 = 2 + 1\frac{1}{4} = 3\frac{1}{4}\)
The next term will be:
\(T_3 = 3\frac{1}{4} + 1\frac{1}{4} = 4\frac{1}{2}\) ----- i.e. add \(1\frac14\) to the number
And so on.
Hence,
A sequence in which 1 1/4 is adding to each number \(2, 3\frac{1}{4}, 4\frac{1}{2} .....\)
\(2, 3\frac{1}{4}, 4\frac{1}{2} .....\)
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